3,691,525

5² × 147661

3,691,525 factors as 5^2 × 147661. Its 6 positive divisors give a proper-divisor sum of 885,997, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 5^2 × 147661

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 4,577,522

Proper Divisor Sum 885,997

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3691489 ← → #3691531

Radix Representation

Decimal	3691525
Binary	1110000101010000000101 (22 bits)
Octal	0o16052005
Hexadecimal	0x385405

Divisor Catalog (6)

1 5 25 147,661 738,305 3,691,525

Collatz Trajectory (84 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,691,525 11,074,576 5,537,288 2,768,644 1,384,322 692,161 2,076,484 1,038,242 519,121 1,557,364 778,682 389,341 1,168,024 584,012 292,006 146,003 438,010 219,005 657,016 328,508 164,254 82,127 246,382 123,191 369,574 184,787 554,362 277,181 831,544 415,772 207,886 103,943 311,830 155,915 467,746 233,873 701,620 350,810 175,405 526,216 263,108 131,554 65,777 197,332 98,666 49,333 148,000 74,000 37,000 18,500 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904

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